Compactly Supported Wavelets and Boundary Conditions
Journal of Functional AnalysisPublished 1 January 1993
Pascal Auscher
Citations21
SJR quartileQ1
SJR score1.96
SNIP1.58
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Abstract
Wavelet bases subject to various homogeneous boundary conditions on an interval are constructed. They are obtained from Daubechies′ compactly supported wavelets which are restricted to the interval following an idea by Y. Meyer and then, suitably modified. The Sobolev spaces arising from homogeneous boundary problems are characterized in terms of wavelet coefficients in these bases.
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Computer ScienceEarth and Planetary Sciences